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Himpunan penyelesaian persamaan x lo g ( 5 x 3 − 4 x ) = x lo g x 5 ialah ...

Himpunan penyelesaian persamaan  ialah ...

  1. {2}

  2. {1 , 2}

  3. {-2, -1, 2}

  4. {-·2, -1, 1, 2}

  5. {-2, -1, 0, 1, 2}

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Pembahasan

log left parenthesis 5 x cubed space minus space 4 x right parenthesis space equals x log x to the power of 5  left parenthesis 5 x cubed space minus space 4 x right parenthesis space equals space x to the power of 5  x to the power of 5 space minus space 5 x cubed space plus space 4 x space equals space 0  x left parenthesis x to the power of 4 space end exponent minus space 5 x squared space plus space 4 right parenthesis space equals space 0  x left parenthesis x squared space minus space 4 right parenthesis left parenthesis x squared space minus 1 right parenthesis space equals space 0  x left parenthesis x space plus space 2 right parenthesis left parenthesis x space minus space 2 right parenthesis left parenthesis x space plus space 1 right parenthesis left parenthesis x space minus 1 right parenthesis space equals space 0  x space equals space 0 space x space equals negative 2 comma space x space equals space 2 comma space x space equals space minus 1 comma space x space equals space 1  H p equals open curly brackets negative 2 comma negative 1 comma 0 comma 1 comma 2 close curly brackets

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Tentukan penyelesaian persamaan berikut. a. 5 lo g ( x 2 − 9 x + 14 ) = 5 lo g ( − 17 x + 62 )

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